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Finding the Fourth Proportional to 4,644.62, 6,968.21 and 1,870.64

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Solution

The fourth proportional to 4,644.62, 6,968.21 and 1,870.64 is: 2,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.62 : 6,968.21 = 1,870.64 : x
  2. Step 2: Convert to fraction form
    4,644.62/6,968.21 = 1,870.64/x
  3. Step 3: Cross multiply
    4,644.62x = 6,968.21 × 1,870.64
  4. Step 4: Simplify right side
    4,644.62x = 13,034,999.61
  5. Step 5: Solve for x
    x = 13,034,999.61/4,644.62
  6. Step 6: Final answer
    x = 2,806.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.